Probability

[Guest]

A business employs 10 accountants, 4 administrators and 2 marketing staff. If we randomly select 2 employees to specialize in new technologies, calculate the following probabilities:
a) At least 1 to be an accountant
b) Exactly 1 to be an accountant
c) No one should be an accountant

[shyamjayakannan]

a) [tex]1-\frac{^6C_2}{^{16}C_2}=\boxed{\frac{7}{8}}[/tex], b) [tex]\frac{10\times6}{^{16}C_2}=\boxed{\frac{1}{2}}[/tex], c) [tex]\frac{^6C_2}{^{16}C_2}=\boxed{\frac{1}{8}}[/tex]